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Solutions for Chapter 5.4: The Fundamental Theorem of Calculus, Part I

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Solutions for Chapter 5.4: The Fundamental Theorem of Calculus, Part I

Solutions for Chapter 5.4
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Textbook: Calculus: Early Transcendentals
Edition: 3
Author: Jon Rogawski, Colin Adams
ISBN: 9781464114885

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.4: The Fundamental Theorem of Calculus, Part I includes 68 full step-by-step solutions. Since 68 problems in chapter 5.4: The Fundamental Theorem of Calculus, Part I have been answered, more than 41580 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Exponential regression

    A procedure for fitting an exponential function to a set of data.

  • Inverse tangent function

    The function y = tan-1 x

  • Invertible linear system

    A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

  • Leibniz notation

    The notation dy/dx for the derivative of ƒ.

  • Midpoint (in a coordinate plane)

    For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

  • Multiplicative identity for matrices

    See Identity matrix

  • Negative association

    A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

  • Partial fractions

    The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

  • Partial sums

    See Sequence of partial sums.

  • Polar equation

    An equation in r and ?.

  • Position vector of the point (a, b)

    The vector <a,b>.

  • Product rule of logarithms

    ogb 1RS2 = logb R + logb S, R > 0, S > 0,

  • Quartic regression

    A procedure for fitting a quartic function to a set of data.

  • Radian

    The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Reflection

    Two points that are symmetric with respect to a lineor a point.

  • Semiperimeter of a triangle

    One-half of the sum of the lengths of the sides of a triangle.

  • Speed

    The magnitude of the velocity vector, given by distance/time.

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